Q1 Let X1 and X2 be independent exponential random variables with identical parameter A. Q1(i.) Find the distribution of Z = max(X1, X2). Q1(ii.) Find the distribution of Y min(X1, X2). Q1 (ii.) Calculate EY]. Q1(iv.) Calculate E[Z]. Q1(v.) Using the relation Z = X1+ X2 – Y, Calculate E[Z] and verify that it agrees with the calculation done in part (iv.)

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